12057585750 has 384 divisors, whose sum is σ = 40643066880. Its totient is φ = 2590963200.

The previous prime is 12057585739. The next prime is 12057585779. The reversal of 12057585750 is 5758575021.

12057585750 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 75 + 8 + 575 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12057585696 and 12057585705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13654809 + ... + 13655691.

It is an arithmetic number, because the mean of its divisors is an integer number (105841320).

Almost surely, 2^12057585750 is an apocalyptic number.

12057585750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12057585750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321533440).

12057585750 is an abundant number, since it is smaller than the sum of its proper divisors (28585481130).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12057585750 is a wasteful number, since it uses less digits than its factorization.

12057585750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 490000, while the sum is 45.

The spelling of 12057585750 in words is "twelve billion, fifty-seven million, five hundred eighty-five thousand, seven hundred fifty".